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Find the common difference of \( \left(\frac{4}{7},\frac{6}{7},\frac{8}{7},\frac{10}{7},\ldots\right) \).\( \left(\frac{4}{7},\frac{6}{7},\frac{8}{7},\frac{10}{7},\ldots\right) \) का समान अंतर (common difference) ज्ञात कीजिए।
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \( \frac{2}{7} \)\( \frac{2}{7} \)
In an AP, the common difference is the difference between consecutive terms. \( d=\frac{6}{7}-\frac{4}{7}=\frac{2}{7} \). Checking next: \( \frac{8}{7}-\frac{6}{7}=\frac{2}{7} \) also matches, so \( d=\frac{2}{7} \).AP में समान अंतर (common difference) लगातार दो पदों का अंतर होता है। \( d=\frac{6}{7}-\frac{4}{7}=\frac{2}{7} \)। जाँच के लिए अगला: \( \frac{8}{7}-\frac{6}{7}=\frac{2}{7} \) भी आता है, इसलिए \( d=\frac{2}{7} \) है।
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